ON THE BEHAVIOR OF THE BATCH ARRIVAL QUEUE M(X)/M/1 DURING A BUSY PERIOD

DC FieldValueLanguage
dc.contributor.authorSTADJE, W
dc.date.accessioned2021-12-23T16:01:12Z-
dc.date.available2021-12-23T16:01:12Z-
dc.date.issued1994
dc.identifier.issn0894069X
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/4816-
dc.description.abstractThe queue size process (Q(t))0 less-than-or-equal-to t less-than-or-equal-to t0 of the batch arrival queue M(x)/M/1 is studied under the condition that the duration of its busy period is larger than t0. Explicit formulas for the transition probabilities are given and the limiting Markov process for t0 --> infinity is investigated. Several properties of this process are considered. Its transition probabilities and moments and the distribution of its minimum are derived and a functional limit theorem for the rescaled process is proved. (C) 1994 John Wiley & Sons, Inc.
dc.language.isoen
dc.publisherJOHN WILEY & SONS INC
dc.relation.ispartofNAVAL RESEARCH LOGISTICS
dc.subjectLIMIT-THEOREM
dc.subjectOperations Research & Management Science
dc.subjectRANDOM-WALK
dc.titleON THE BEHAVIOR OF THE BATCH ARRIVAL QUEUE M(X)/M/1 DURING A BUSY PERIOD
dc.typejournal article
dc.identifier.doi10.1002/1520-6750(199403)41:2<153::AID-NAV3220410203>3.0.CO;2-U
dc.identifier.isiISI:A1994MX72200002
dc.description.volume41
dc.description.issue2
dc.description.startpage153
dc.description.endpage169
dc.publisher.place605 THIRD AVE, NEW YORK, NY 10158-0012
dcterms.isPartOf.abbreviationNav. Res. Logist.
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidStWo325-
Show simple item record

Page view(s)

1
Last Week
0
Last month
1
checked on Apr 19, 2024

Google ScholarTM

Check

Altmetric